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Finding the Fourth Proportional to 33,914.56, 50,585.68 and 31,963.68

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Solution

The fourth proportional to 33,914.56, 50,585.68 and 31,963.68 is: 47,675.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,914.56 : 50,585.68 = 31,963.68 : x
  2. Step 2: Convert to fraction form
    33,914.56/50,585.68 = 31,963.68/x
  3. Step 3: Cross multiply
    33,914.56x = 50,585.68 × 31,963.68
  4. Step 4: Simplify right side
    33,914.56x = 1,616,904,488.10
  5. Step 5: Solve for x
    x = 1,616,904,488.10/33,914.56
  6. Step 6: Final answer
    x = 47,675.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.